SOLUTION: A rectangular park, 60 meters long and 40 meters wide, is surrounded by a jogging path of uniform width, containing 1344 square meters. How wide is the jogging path?

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Question 1116187: A rectangular park, 60 meters long and 40 meters wide, is surrounded by a jogging path of uniform width, containing 1344 square meters. How wide is the jogging path?
Found 3 solutions by josgarithmetic, MathTherapy, ikleyn:
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
x, width of the jogging path

Entire path+park area, %2840%2B2x%29%2860%2B2x%29

Only the park area, 40%2A60

Just the jogging path area of 1344, %2840%2B2x%29%2860%2B2x%29-40%2A60=1344

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40%2A60%2B120x%2B80x%2B4x%5E2-40%2A60=1344
120x%2B80x%2B4x%5E2=1344
4x%5E2%2B200x-1344=0
x%5E2%2B50x-336=0
%28x-6%29%28x%2B56%29=0
The x value which makes sense is highlight%286%29

Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!
A rectangular park, 60 meters long and 40 meters wide, is surrounded by a jogging path of uniform width, containing 1344 square meters. How wide is the jogging path?
Correct answer: highlight_green%28matrix%281%2C2%2C+6%2C+meters%29%29

IGNORE all other RIDICULOUS answers. How can the width of the path (56 m) be greater than one of the side lengths of the park? 

As stated by the ALWAYS wrong YOU-KNOW-WHO. Isn't that totally RIDICULOUS?

Answer by ikleyn(52754) About Me  (Show Source):
You can put this solution on YOUR website!
.
(60+2x)*(40+2x) - 60*40 = 1344


4x^2 + 200x - 1344 = 0

x^2 + 50x - 336 = 0

(x-6)*(x+56) = 0


Only positive root x= 6 is the solution to the problem.


Answer.  The uniform width of the path is 6 meters.

Solved.

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To see many other similar solved problems,  look into the lesson
    - Problems on the area and the dimensions of a rectangle surrounded by a strip
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic
"Dimensions and the area of rectangles and circles and their elements".

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.